Answer:
<u>The dimensions are:</u>
<u>l = 2*1.96 = 3.92 yd</u>
<u>h = 5/(1.96)² = 1.30 yd</u>
<u>w = 1.96 yd</u>
Step-by-step explanation:
The volume is given by:

Where:
- l is the long
- w the wide
- h the height
We know that l = 2w, so we have:

(2)
Now, the surface of this parallelepiped is:
Using l = 2w:

Using (2) we obtain the surface equation in terms of w.
We need to take the derivative with respect to w to minimize the surface area.
Now, let's equal it to zero.
So, <u>l = 2*1.96 = 3.92 yd</u> and <u>h = 5/(1.96)² = 1.30 yd</u>
<u>Therefore, the dimensions are:</u>
<u>l = 2*1.96 = 3.92 yd</u>
<u>h = 5/(1.96)² = 1.30 yd</u>
<u>w = 1.96 yd</u>
I hope it helps you!